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Handbook of air conditioning and refrigeration / Shan K

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where Psy � each <strong>air</strong> system total power input to the fan motors, hp (kW)<br />

� volume flow rate <strong>of</strong> <strong>air</strong> system at design conditions, cfm (L/s)<br />

V˙ s,d<br />

For variable-<strong>air</strong>-volume (VAV) system: nameplate fan motor power is 0.0017 hp/cfm (0.0027 W<br />

per L/s); when supply volume flow � 20,000 cfm (9440 L/s), allowable nameplate fan motor<br />

power is 0.0015 hp/cfm (W per L/s). That is:<br />

P sy<br />

V˙ s,d<br />

P sy<br />

V˙ s, d<br />

P sy can be calculated as<br />

where �p sy,d � system total pressure loss at design conditions, in. WC (Pa)<br />

� f,d, � d,d, � m,d � fan total efficiency, drive efficiency, <strong>and</strong> motor efficiency at design conditions<br />

(17.24b)<br />

(17.25a)<br />

Substituting Eq. (17.25a) into Eq. (17.24), for constant-volume systems, the system total pressure<br />

loss is<br />

�p sy<br />

� f,d� d,d� m,d<br />

�p sy<br />

� f,d� d,d� m,d<br />

For VAV systems, the system total pressure loss is<br />

�p sy<br />

� f,d� d,d� m,d<br />

�p sy<br />

� f,d� d,d� m,d<br />

In Eq. (17.24), temperature ratio can be calculated as:<br />

Temperature ratio �<br />

Pressure credit, in hp (kW), can be calculated as:<br />

Tr, set � Ts,d 20<br />

Pressure credit �<br />

P sy �<br />

Relief fan credit, in hp (kW), can be calculated as:<br />

�p sy,dV˙ s,d<br />

6350� f,d� d,d� m,d<br />

� 7.6 in. WC (Pa) when V˙ s,d � 20,000 cfm<br />

� 7.0 in. WC (Pa) when V˙ s,d � 20,000 cfm<br />

� 10.8 in. WC (Pa) when V˙ s,d � 20,000 cfm<br />

� 9.5 in. WC (Pa) when V˙ s,d � 20,000 cfm<br />

� V˙ s,d(�pfil � 1.0)<br />

n�1<br />

3718<br />

�<br />

Relief fan credit � Pr, f �1 � 1 � V˙<br />

r, f<br />

V˙ � s,d<br />

AIR SYSTEMS: AIR DUCT DESIGN 17.11<br />

� 0.0017 hp / cfm (0.0027 W�s / L) when V˙ s,d � 20,000 cfm<br />

� 0.0015 hp / cfm (0.0024 W�s / L) when V˙ s,d � 20,000 cfm<br />

� V˙ s,d�pHR m�1<br />

3718<br />

(17.25b)<br />

(17.25c)<br />

(17.26)<br />

(17.27a)<br />

(17.27b)

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